“Simple groups stabilizing polynomials” paper published

My paper “Simple groups stabilizing polynomials“, written with Bob Guralnick, has appeared in Forum of Mathematics Pi.  In it, we show that, if a simple algebraic group stabilizes a polynomial function on a vector space V, then with a very short list of exceptions is actually the identity component of the stabilizer of f.  We give various concrete applications of this general fact.  The proof relies on knowing that there are very few groups containing G, and our core result, which shows that for only a very short list of those do the quotient spaces V/G and V/H have the same dimension.